Logistics

Line number:	83392
Time and places	T Th   10:40-11:55 in PSA 304
Text:	"Closer and closer" by Carol Schumacher. This text is to appear as a hardcopy later this year. Newly revised pre-publication copies of chapters 0-8 will be available (ONLY) at the ASU bookstore in mid-January, and copies of chapters 9-12 will be available in March.
Instructor:	Matthias Kawski
Contact info:	e-mail:	kawski@asu.edu (preferred)
	office location:	Goldwater Center room 354
	office hours:	T 2:00, Th 12:00, F 1:00, and by appointment
	office phone:	(480) 965 3376 (very unreliable)
	home phone:	(480) 893 0107 (for emergencies)

Content, goals and objectives

The General Catalogue lists the following required contents:

MAT 371 Advanced Calculus.(3) fall and spring. Real numbers, completeness, sequences/series, continuity, uniform theorems, derivative, Riemann integral, pointwise/uniform convergence, Taylor's theorem. Students may not count both MAT 370 and 371 toward a mathematics degree. Prerequisite: MAT 272 or 300 or instructor approval. (The first "or" is a misprint.)

The main objective of the course is to develop a rigorous foundation for the basic topics of analysis -- preparing students for advanced courses in analysis, as well as providing all students (especially future secondary teachers) with a solid understanding of the rigorous foundations of calculus.
At the end of the course, the successful student will be able to provide clearly written, rigorous proofs for all major theorems of the course, and create new proofs for similar statements. She/he also can state all basic definitions and theorems, and will have an "accurate intuitive feeling for analysis".

Computers
We do not expect any significant use of computers. Occasionally MAPLE worksheets may be posted for illustrative examples and visualization.

General expectations and policies

• All students are expected to present their work on the board in class. Volunteer early! -- don't wait until the end of the course when the material gets even more demanding.
• This class is first of all about writing concise arguments -- "proofs". Expect to do a lot or Rewriting -- all homework and exams are expected to be in grammatically meaningful sentences, including proper punctuation. (Lists of symbols and equations without VERBAL explanations of their logical relationships are generally unacceptable.)
• Collaboration for homework and class preparation is highly encouraged and expected for typical in-class assignments! Homework may be handed in by teams of size at most four. Each set has to bear the signatures of all team members -- understood as certifications that each team member has contributed her/his fair share and understands each proof well enough to present it in class.
• A critical component of the class is that students create their own proofs. The default policy is that students may collaborate with each other, use help from the instructor and consult our textbook. All other sources (WWW, other books, friends, ...) must be properly acknowledged in writing.
  If considered necessary, stricter (or more detailed) policies will be announced in class and posted on this WWW-site.
• Unless otherwise agreed upon, there will be three one hour tests and a two-hour final exam. These are taken individually, and either in-class or in the testing center. If judged suitable, there may also be almost daily "pop-quizzes".
• Late homework will not be accepted. Make-up exams will only be allowed in extreme cases (verifiable illness etc.). University rules and deadlines for withdrawals will be strictly enforced (e.g. to earn a W the student must have a passing standing at the time of the request).

Daily routine
Students are expected to prepare for each class by reading the upcoming section in the textbook, starting to work exercises, and prepare in writing a list of questions regarding the new material. Do NOT expect that everything from the textbook will be copied to the black-board. A large part of every class shall be devoted to student presentations of their proofs -- questioning by the class, and suggestions for improvements. If judged suitable, every class could start with a very short quiz: Typically, the first part will address a question related to homework on previous topics, the second part will be a check of the preparation of the new material (e.g. a simple vocabulary test).

Grading policies
Unless otherwise agreed upon, the semester grade will be composed of

30 %	In-class participation (and possibly mini-quizzes). Especially, black-board presentations, and constructive criticism of the presented work.
30 %	final examination (two hours, in-class)
30 %	in-class tests
10 %	Homework

A weighted average of 90% and above is guaranteed to earn an A, 80% and above is guaranteed to earn a B, 65% and above is guaranteed to earn a C, 55% and above is guaranteed to earn a D.